In strongly correlated systems or "strange metals", resistivity scales linearly with temperature, similar to what was observed in TBG [1]}, [2]}. In these materials, quantum fluctuations are proposed to be the dominant scattering mechanism that results in T-linear behavior [3]}, [4]}. However, the T-linear resistivity is observed at a broad range of twist angles in TBG, independent of the correlated phases at magic angles [5]}. This indicates a unified scattering mechanism controls carrier transport. Phonons have been identified as that mechanism [6]} and inelastic phonon scattering was shown to dominate carrier transport above the superconducting critical temperature \(T_c\)  [7]}. Hence this study focuses on simulating phonon-limited carrier transport at and above 100 K, well in excess of the Bloch-Grüneisen temperature [8]} and in the range of typical energy and sensing applications. Lower temperatures also result in hydrodynamic transport [9]} and an enhanced contribution from phonon drag [10]}, which are beyond the scope of our model. The scattering processes included here are acoustic phonon scattering (\(\Gamma _{ac}\) )
\(\Gamma _{ac}(E) = \frac{2\pi D_{ac}^2 k_B T}{\hbar \rho v_{ac}^2} \int \delta (E-E(k^{\prime })) dk^{\prime } = \frac{2\pi D_{ac}^2 k_B T}{\hbar \rho v_{ac}^2} D(E),\\\) 
